225575640 has 48 divisors (see below), whose sum is σ = 733122000. Its totient is φ = 60153408.

The previous prime is 225575629. The next prime is 225575641. The reversal of 225575640 is 46575522.

225575640 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 7 + 5 + 640 = 666.

It is a super-2 number, since 2×225575640² = 101768738722819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225575595 and 225575604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225575641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312940 + ... + 313659.

It is an arithmetic number, because the mean of its divisors is an integer number (15273375).

Almost surely, 2^225575640 is an apocalyptic number.

225575640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225575640 is an abundant number, since it is smaller than the sum of its proper divisors (507546360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225575640 is a wasteful number, since it uses less digits than its factorization.

225575640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626616 (or 626609 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 225575640 is about 15019.1757430293. The cubic root of 225575640 is about 608.7384480322.

The spelling of 225575640 in words is "two hundred twenty-five million, five hundred seventy-five thousand, six hundred forty".